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Finding the Fourth Proportional to 42,043, 58,023.44 and 23,180.12

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Solution

The fourth proportional to 42,043, 58,023.44 and 23,180.12 is: 31,990.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,043 : 58,023.44 = 23,180.12 : x
  2. Step 2: Convert to fraction form
    42,043/58,023.44 = 23,180.12/x
  3. Step 3: Cross multiply
    42,043x = 58,023.44 × 23,180.12
  4. Step 4: Simplify right side
    42,043x = 1,344,990,302.01
  5. Step 5: Solve for x
    x = 1,344,990,302.01/42,043
  6. Step 6: Final answer
    x = 31,990.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.